Question

Father’s age is three times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.

Answer 1

Answer:

Let the age of father be x years and sum of the ages of his children be y years.

After 5 years,

Father's age = (x + 5) years

Sum of ages of his children = (y + 10) years

From the given information we have

x = 3y.......(i)

and x + 5 = 2(y + 10)

x - 2y = 15......(ii)

From (i) and (ii) we have

3y - 2y =15

y = 15

x = 3y

x = 45

Father's age = 45 years